All categories

3 years ago

Select each expression that is equivalent to 3(n+6) . Select all that apply.

Mathematics

2 answers:

Harlamova29_29 [7]3 years ago

8 0

The answer is both b and d!!!

Marta_Voda [28]3 years ago

6 0

ANSWER

B. 3n+18

D. 2(n+6)+(n+6)

EXPLANATION

The given expression is

$3(n + 6)$

We expand the bracket using the distributive property to obtain,

$= 3n + 18$

This will give us option B as one of the correct answers.

We could also rewrite

$3(n + 6) = 2(n + 6) + 1(n + 6)$

This will give us

$3(n + 6) = 2(n + 6) + (n + 6)$

Hence option D is another correct answer.

You might be interested in

Braydon is at the 10-mile Marker at the park to run. He can run at a pace of 3 miles per hour. Lauren is at the 12-mile marker a

madreJ [45]

it will take 1.33 hours for Braydon and Lauren to get to the same mile marker on the path in the park .

<u>Step-by-step explanation:</u>

Here we have , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour. We need to find How long will it take for Braydon and Lauren to get to the same mile marker on the path in the park .Let's find out:

Let after time t they meet each other so , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Distance traveled is given by :

⇒ $3t+10$

Now , Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour , Distance traveled is given by :

⇒ $1.5t + 12$

Equating both we get :

⇒ $3t+10=1.5t+12$

⇒ $1.5t=2$

⇒ $t=\frac{2}{1.5}$

⇒ $t=1.33$

Therefore , it will take 1.33 hours for Braydon and Lauren to get to the same mile marker on the path in the park .

7 0

3 years ago

Why is the answer to this integral's denominator have 1+pi^2

ss7ja [257]

It comes from integrating by parts twice. Let

$I = \displaystyle \int e^n \sin(\pi n) \, dn$

Recall the IBP formula,

$\displaystyle \int u \, dv = uv - \int v \, du$

Let

$u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Then

$\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn$

Apply IBP once more, with

$u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Notice that the ∫ v du term contains the original integral, so that

$\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)$

$\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I$

$\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n$

$\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C$

6 0

2 years ago

Find the volume of this irregular figure.

hammer [34]

Answer:

I would say that the Answer is 35 I hope this isnt wrong..

6 0

3 years ago

Read 2 more answers

How does the graph of g(x) = (x + 4)3 − 6 compare to the parent function f(x) = x3?

Solnce55 [7]

Answer:

g(x) is shifted 6 units to the left

Step-by-step explanation:

Lets try to simplify g(x) since has a few extra terms:

g(x)= 3x+12-6=3x+6

Now it is easier to compare the two functions.

We can tell that they both have the same slope, both differs on a extra term

This term tell us that the g(x) is shifted to the left (it is positive 6)

Another approach to the solution is to plot the two functions together by obtaining the crossing points with the 'y' axis and with the 'x' axis

the result is shown in the attached picture

4 0

3 years ago

Read 2 more answers

Find the number of the different ways, for 3 students to sit on 7 seats in one row.

qwelly [4]

Answer:

210

Step-by-step explanation:

Here comes the problem from Combination.

We are being asked to find the number of ways out in which 3 students may sit on 7 seats in a row. Please see that in this case the even can not be repeated.

Let us start with the student one. For him all the 7 seats are available to sit. Hence number of ways for him to sit = 7

Let us see the student second. For him there are only 6 seats available to sit as one seat has already been occupied. Hence number of ways for him to sit = 6

Let us see the student third. For him there are only 5 seats available to sit as two seat has already been occupied. Hence number of ways for him to sit = 5

Hence the total number of ways for three students to be seated will be

7 x 6 x 5

=210

3 0

3 years ago

Read 2 more answers